Solve P(t)=4!4!2/8!

$$P ( t ) = \frac { 4 ! 4 ! 2 } { 8 ! }$$

Evaluate

$$\frac{1}{35}\approx 0.028571429$$

Solution Steps

Multiply 4! and 4! to get \left(4!\right)^{2}.

$$\frac{\left(4!\right)^{2}\times 2}{8!}$$

The factorial of 4 is 24.

$$\frac{24^{2}\times 2}{8!}$$

Calculate 24 to the power of 2 and get 576.

$$\frac{576\times 2}{8!}$$

Multiply 576 and 2 to get 1152.

$$\frac{1152}{8!}$$

The factorial of 8 is 40320.

$$\frac{1152}{40320}$$

Reduce the fraction \frac{1152}{40320} to lowest terms by extracting and canceling out 1152.

$$\frac{1}{35}$$

Factor

$$\frac{1}{5 \cdot 7} = 0.02857142857142857$$